Question

the function f(x)= x^1/3 is transformed to get function h. h(x) = (2x)^1/3 + 5 which statements are true about function h?(statements in picture below)

Answer 1

The Solution:

Given the function:

$\begin{gathered} f(x)=x^{\frac{1}{3}} \\ \\ h(x)=(2x)^{\frac{1}{3}}+5 \end{gathered}$

Required:

To determine the true statements about the function h if the function h is a transformation of the function f.

Below are the graphs of the functions:

The correct answers are ticked options in the picture below: